Atkin-Lehner |
2+ 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050w |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-158270000000 = -1 · 27 · 57 · 72 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 5 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3250,72500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-100:1] |
Generators of the group modulo torsion |
j |
-243087455521/10129280 |
j-invariant |
L |
4.7453829806768 |
L(r)(E,1)/r! |
Ω |
1.0155005807836 |
Real period |
R |
0.58411869275618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610t1 |
Quadratic twists by: 5 |